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A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

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Page 1: A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

A.A.24 Algebraic equation & Inequalities

How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

Page 2: A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

The problem

Solve for X:

Page 3: A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

Willy: Why do you change the sign from < (is less than) to > (is greater than)?

Braulio: You need to change the sign when you are solving problems with inequality signs.

Willy: But why?

Page 4: A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

Monshur: Look [point to the text] you don’t change the sign.Numan: You don’t have to change the sign, but I don’t know why

The problem Example from UR

Page 5: A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

Willy: I learned that you change the sign (inequality) when you divided by a negative number, but here you divided by positive 4, so keep the sign.

Willy’s Ah-Ha Moment!!

Page 6: A.A.24 Algebraic equation & Inequalities How Braulio, Numan, Monshur, and Willy solved an algebraic inequality in their UR

Our Take Away

(1) If each side of an inequality is divided by the negative number, then change the sign.

(2) They referenced to an existing example.